A priori error estimates for upwind finite volume schemes for two-dimensional linear convection diffusion problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10335247" target="_blank" >RIV/00216208:11320/16:10335247 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00574-016-0163-9" target="_blank" >http://dx.doi.org/10.1007/s00574-016-0163-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00574-016-0163-9" target="_blank" >10.1007/s00574-016-0163-9</a>

Result language
angličtina
Original language name
A priori error estimates for upwind finite volume schemes for two-dimensional linear convection diffusion problems
Original language description
It is still an open problem to prove a priori error estimates for finite volume schemes of higher order MUSCL type, including limiters, on unstructured meshes, which show some improvement compared to first order schemes. In this paper we use these higher order schemes for the discretization of convection dominated elliptic problems in a convex bounded domain Omega in R-2 and we can prove such kind of an a priori error estimate. In the part of the estimate, which refers to the discretization of the convective term, we gain h (1/2). Although the original problem is linear, the numerical problem becomes nonlinear, due to MUSCL type reconstruction/limiter technique.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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